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Chemistry
Chemistry
Problem
Which of the following expressions correctly gives the speed
v
n
v_n
v
n
of an electron in the
n
n
n
th Bohr orbit of a hydrogen-like ion of atomic number
Z
Z
Z
? a)
v
n
=
Z
2
e
2
2
ε
0
h
1
n
v_n = \dfrac{Z^{2} e^{2}}{2\varepsilon_0 h}\,\dfrac{1}{n}
v
n
=
2
ε
0
h
Z
2
e
2
n
1
b)
v
n
=
Z
e
2
2
ε
0
h
1
n
v_n = \dfrac{Z e^{2}}{2\varepsilon_0 h}\,\dfrac{1}{n}
v
n
=
2
ε
0
h
Z
e
2
n
1
c)
v
n
=
Z
e
2
2
ε
0
h
n
v_n = \dfrac{Z e^{2}}{2\varepsilon_0 h}\, n
v
n
=
2
ε
0
h
Z
e
2
n
d)
v
n
=
Z
e
2
2
ε
0
h
1
n
2
v_n = \dfrac{Z e^{2}}{2\varepsilon_0 h}\,\dfrac{1}{n^{2}}
v
n
=
2
ε
0
h
Z
e
2
n
2
1
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